Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0951.46025
Honary, T.G.; Mahyar, H.
Approximation in Lipschitz algebras of infinitely differentiable functions. (English)
[J] Bull. Korean Math. Soc. 36, No.4, 629-636 (1999). ISSN 1015-8634

Summary: We introduce Lipschitz algebras of differentiable functions on a perfect compact plane set $X$ and then extend the definition to Lipschitz algebras of infinitely differentiable functions on $X$. Then we define the subalgebras generated by polynomials, rational functions, and analytic functions in some neighbourhood of $X$, and determine the maximal ideal spaces of some of these algebras. We investigate the polynomial and rational approximation problems on certain compact sets $X$.

MSC 2000:: *46J10 Banach algebras of continuous functions
46J15 Banach algebras of differentiable functions
46J20 Ideals of commutative topological algebras
41A10 Approximation by polynomials
41A20 Approximation by rational functions

Keywords: Banach function algebras; Lipschitz algebras; differentiable functions on a perfect compact plane set; subalgebras; maximal ideal spaces; polynomial and rational approximation problems

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]